基于等效夹杂理论的混杂纤维复合材料有效弹性模量预测

The Prediction of Effective Elastic Modulus forHybrid FiberComposites Based on Equivalent InclusionTheory

混杂纤维复合材料能够综合多种纤维优点,提高单一纤维增强复合材料的力学性能。为了预测混杂纤维复合材料的力学性能,基于等效夹杂理论和分步均匀化方法,提出了一种混杂纤维复合材料有效弹性模量的细观力学模型。以剑麻(SF)/玄武岩纤维(BF)增强聚乳酸(PLA)复合材料为例,采用细观力学模型对其有效弹性模量进行预测,并将预测结果、ABAQUS有限元软件模拟结果和试验结果进行对比,表明混杂纤维质量分数在27.27%以下时,预测结果与试验值的相对误差保持在15.26%以下,并且细观力学模型预测值较有限元模拟值更接近试验结果。最后对SF/BF混杂增强PLA复合材料拉伸弹性模量影响因素进行分析,比较了相同纤维质量含量的BF和SF对PLA复合材料拉伸弹性模量的影响,结果表明复合材料拉伸弹性模量随纤维拉伸弹性模量的增大而增大。

The mechanical properties of hybrid fiber composites can be improved by integrating the advantages of multiple fibers.A micromechanical model of effective elastic modulus of hybrid fiber composites was proposed based on the equivalent inclusion theory and step-wise homogenization method in order to predict the mechanical properties of hybrid fiber compo-sites.The effective elastic modulus of sisal/basalt fiber(SF/BF) reinforced polylactic acid(PLA) composites was predicted using the micromechanical model,and the predicted results,the simulation consequen-ces of ABAQUS finite element software and the test results were compared.It demonstrates that the relative error between the predicted results and the test values remains below 15.26% when the content of hybrid fiber is lower than 27.27%,and the predicted values of the micromechanical model are closer to the test results than the values of the finite element simulation.Finally,the factors affecting the elastic modulus of sisal/basalt fiber composite were analyzed,and the effects of basalt fiber and sisal fiber with different fiber content on the elastic modulus of the composite were investigated.The results show that tensile elastic modulus of PLA composite increase with the increase of fiber elastic modulus.